25 is what percent of 39.52 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 39.52 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 39.52, so we can write it down as 100%=39.52.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=39.52
2) x%=25
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=39.52/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 39.52

100%/x%=39.52/25
(100/x)*x=(39.52/25)*x       - we multiply both sides of the equation by x
100=1.5808*x       - we divide both sides of the equation by (1.5808) to get x
100/1.5808=x
63.259109311741=x
x=63.259109311741

now we have:
25 is 63.259109311741% of 39.52